SOLUTION: Simplify the expression.
tan(sin−1 x)
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Question 661651: Simplify the expression.
tan(sin−1 x)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Simplify the expression.
tan(sin^-1 (x))
(sin^-1 (x)) is an angle whose sin=x/1=opposite side/hypotenuse
by the pythagorean theorem
adjacent side=sqrt of (hypotenuse^2-opp side^2)=√(1^2-x^2)=√(1-x^2)
tan(sin^-1 (x))=opposite side/adjacent side=x/√(1-x^2)
tan(sin^-1 (x))=x/√(1-x^2)
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